SOLUTION: How do I create a single data point consisting of point (4,-4) by finding the equation of a line parallel to the 3y-27=9x and through your point (4, -4; respond to the next student

Algebra ->  Linear-equations -> SOLUTION: How do I create a single data point consisting of point (4,-4) by finding the equation of a line parallel to the 3y-27=9x and through your point (4, -4; respond to the next student      Log On


   

Question 1016866: How do I create a single data point consisting of point (4,-4) by finding the equation of a line parallel to the 3y-27=9x and through your point (4, -4; respond to the next student in the assigned number list by finding the equation of a line perpendicular to the original line and through your point. Show all of your work.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe you are asking the second part; to find a line parallel to 3y-27=9x which passes through point (4,-4)?

Slopes of both line will be same.
3y=9x%2B27
y=3x%2B9
slope is 3.

The line with slope 3 passing through (4,-4) is y-%28-4%29=3%28x-4%29
y%2B4=3x-12
highlight%28y=3x-16%29.

For the second question, the method can be the same. Notice I used the point-slope form equation to find the line's equation, and the SAME slope because the answered question was for "parallel". The line for perpendicular wlll be same point to pass througn, BUT slope -1%2F3.